Calculating the H∞ norm of a fractional system given in state-space form

Bouagada, Djillali;Melchior, Samuel;Van Dooren, Paul
(2017) Applied Mathematics Letters — Vol. 79, p. 51-57 (2018)

Files

1-s20-S0893965917303567-main.pdf
  • Closed Access
  • Adobe PDF
  • 671.13 KB
Request a copy

Details

Authors
  • Bouagada, DjillaliUniversity Abdelhamid Ibn Badis of Mostaganem, Mostaganem, Algeria
    Author
  • Melchior, SamuelICTEAM, Université catholique de Louvain, Belgium
    Author
  • Van Dooren, PaulUCLouvain
    Author
Abstract
We present an efficient algorithm to compute the norm of a fractional system. The algorithm is based on the computation of level sets of the maximum singular value of the transfer function, as a function of frequency. Numerical examples are given to illustrate the new method.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Bouagada, D., Melchior, S., & Van Dooren, P. (2017). Calculating the H∞ norm of a fractional system given in state-space form. Applied Mathematics Letters, 79, 51-57. https://doi.org/10.1016/j.aml.2017.11.019 (Original work published 2018)